To determine if parallelograms ADCB and EHGF are congruent, we need to consider the transformations that would map one parallelogram onto the other.
Congruent shapes have the same size and shape, meaning that reflections, rotations, and translations will result in congruent figures, while dilations will not.
Given the options:
- Yes, ADCB≅EHGF because parallelogram ADCB was reflected.
- Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was reflected.
- No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated.
- No, upper A upper D upper C upper B is not congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was dilated.
- Yes, ADCB≅EHGF since parallelogram ADCB was translated.
- Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F since parallelogram upper A upper D upper C upper B was translated.
- Yes, ADCB≅EHGF because parallelogram ADCB was rotated.
- Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was rotated.
If the transformation that relates the two parallelograms is a reflection, rotation, or translation, then the two parallelograms are congruent. If it is a dilation, then they are not congruent.
Without seeing the image, I cannot definitively conclude which option is correct. However, if one of the transformations mentioned in options 1, 2, 5, 6, 7, or 8 is true based on the image, then they would be congruent. If the only transformation is dilation, then they would not be.
Choose the response based on the observed transformation:
- If the transformation observed is a reflection, rotation, or translation, select the corresponding affirmative option.
- If it is a dilation, select one of the negative options regarding congruence.
9 answers